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Finding the Fourth Proportional to 249,327, 374,009.98 and 83,115

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Solution

The fourth proportional to 249,327, 374,009.98 and 83,115 is: 124,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,327 : 374,009.98 = 83,115 : x
  2. Step 2: Convert to fraction form
    249,327/374,009.98 = 83,115/x
  3. Step 3: Cross multiply
    249,327x = 374,009.98 × 83,115
  4. Step 4: Simplify right side
    249,327x = 31,085,839,487.70
  5. Step 5: Solve for x
    x = 31,085,839,487.70/249,327
  6. Step 6: Final answer
    x = 124,678.99

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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.