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Finding the Fourth Proportional to 151,007.15, 208,390.29 and 83,031.08

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Solution

The fourth proportional to 151,007.15, 208,390.29 and 83,031.08 is: 114,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,007.15 : 208,390.29 = 83,031.08 : x
  2. Step 2: Convert to fraction form
    151,007.15/208,390.29 = 83,031.08/x
  3. Step 3: Cross multiply
    151,007.15x = 208,390.29 × 83,031.08
  4. Step 4: Simplify right side
    151,007.15x = 17,302,869,486.90
  5. Step 5: Solve for x
    x = 17,302,869,486.90/151,007.15
  6. Step 6: Final answer
    x = 114,583.11

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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.