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Finding the Fourth Proportional to 72,702.68, 109,055.10 and 47,901.56

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Solution

The fourth proportional to 72,702.68, 109,055.10 and 47,901.56 is: 71,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.68 : 109,055.10 = 47,901.56 : x
  2. Step 2: Convert to fraction form
    72,702.68/109,055.10 = 47,901.56/x
  3. Step 3: Cross multiply
    72,702.68x = 109,055.10 × 47,901.56
  4. Step 4: Simplify right side
    72,702.68x = 5,223,909,415.96
  5. Step 5: Solve for x
    x = 5,223,909,415.96/72,702.68
  6. Step 6: Final answer
    x = 71,853.05

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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.