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Finding the Fourth Proportional to 138,683.70, 208,097.55 and 64,811.70

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Solution

The fourth proportional to 138,683.70, 208,097.55 and 64,811.70 is: 97,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,683.70 : 208,097.55 = 64,811.70 : x
  2. Step 2: Convert to fraction form
    138,683.70/208,097.55 = 64,811.70/x
  3. Step 3: Cross multiply
    138,683.70x = 208,097.55 × 64,811.70
  4. Step 4: Simplify right side
    138,683.70x = 13,487,155,981.34
  5. Step 5: Solve for x
    x = 13,487,155,981.34/138,683.70
  6. Step 6: Final answer
    x = 97,251.20

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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.