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Finding the Fourth Proportional to 13,853,210.80, 20,737,825.80 and 10,465,985.20

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Solution

The fourth proportional to 13,853,210.80, 20,737,825.80 and 10,465,985.20 is: 15,667,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853,210.80 : 20,737,825.80 = 10,465,985.20 : x
  2. Step 2: Convert to fraction form
    13,853,210.80/20,737,825.80 = 10,465,985.20/x
  3. Step 3: Cross multiply
    13,853,210.80x = 20,737,825.80 × 10,465,985.20
  4. Step 4: Simplify right side
    13,853,210.80x = 217,041,777,902,978.16
  5. Step 5: Solve for x
    x = 217,041,777,902,978.16/13,853,210.80
  6. Step 6: Final answer
    x = 15,667,254.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.