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Finding the Fourth Proportional to 77,084.80, 115,648.80 and 37,643.20

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Solution

The fourth proportional to 77,084.80, 115,648.80 and 37,643.20 is: 56,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084.80 : 115,648.80 = 37,643.20 : x
  2. Step 2: Convert to fraction form
    77,084.80/115,648.80 = 37,643.20/x
  3. Step 3: Cross multiply
    77,084.80x = 115,648.80 × 37,643.20
  4. Step 4: Simplify right side
    77,084.80x = 4,353,390,908.16
  5. Step 5: Solve for x
    x = 4,353,390,908.16/77,084.80
  6. Step 6: Final answer
    x = 56,475.35

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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.