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Finding the Fourth Proportional to 100,813.68, 139,094.42 and 65,024.64

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Solution

The fourth proportional to 100,813.68, 139,094.42 and 65,024.64 is: 89,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,813.68 : 139,094.42 = 65,024.64 : x
  2. Step 2: Convert to fraction form
    100,813.68/139,094.42 = 65,024.64/x
  3. Step 3: Cross multiply
    100,813.68x = 139,094.42 × 65,024.64
  4. Step 4: Simplify right side
    100,813.68x = 9,044,564,261.39
  5. Step 5: Solve for x
    x = 9,044,564,261.39/100,813.68
  6. Step 6: Final answer
    x = 89,715.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.