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Finding the Fourth Proportional to 77,411.20, 116,116.80 and 65,601.40

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Solution

The fourth proportional to 77,411.20, 116,116.80 and 65,601.40 is: 98,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411.20 : 116,116.80 = 65,601.40 : x
  2. Step 2: Convert to fraction form
    77,411.20/116,116.80 = 65,601.40/x
  3. Step 3: Cross multiply
    77,411.20x = 116,116.80 × 65,601.40
  4. Step 4: Simplify right side
    77,411.20x = 7,617,424,643.52
  5. Step 5: Solve for x
    x = 7,617,424,643.52/77,411.20
  6. Step 6: Final answer
    x = 98,402.10

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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.