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Finding the Fourth Proportional to 102,685.59, 153,677.93 and 86,064.39

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Solution

The fourth proportional to 102,685.59, 153,677.93 and 86,064.39 is: 128,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,685.59 : 153,677.93 = 86,064.39 : x
  2. Step 2: Convert to fraction form
    102,685.59/153,677.93 = 86,064.39/x
  3. Step 3: Cross multiply
    102,685.59x = 153,677.93 × 86,064.39
  4. Step 4: Simplify right side
    102,685.59x = 13,226,196,871.59
  5. Step 5: Solve for x
    x = 13,226,196,871.59/102,685.59
  6. Step 6: Final answer
    x = 128,802.85

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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.