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Finding the Fourth Proportional to 77,397.30, 115,946.90 and 65,681.46

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Solution

The fourth proportional to 77,397.30, 115,946.90 and 65,681.46 is: 98,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,397.30 : 115,946.90 = 65,681.46 : x
  2. Step 2: Convert to fraction form
    77,397.30/115,946.90 = 65,681.46/x
  3. Step 3: Cross multiply
    77,397.30x = 115,946.90 × 65,681.46
  4. Step 4: Simplify right side
    77,397.30x = 7,615,561,674.47
  5. Step 5: Solve for x
    x = 7,615,561,674.47/77,397.30
  6. Step 6: Final answer
    x = 98,395.70

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1.5x scale

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.