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Finding the Fourth Proportional to 83,646.65, 115,434.41 and 45,407.77

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Solution

The fourth proportional to 83,646.65, 115,434.41 and 45,407.77 is: 62,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.65 : 115,434.41 = 45,407.77 : x
  2. Step 2: Convert to fraction form
    83,646.65/115,434.41 = 45,407.77/x
  3. Step 3: Cross multiply
    83,646.65x = 115,434.41 × 45,407.77
  4. Step 4: Simplify right side
    83,646.65x = 5,241,618,623.74
  5. Step 5: Solve for x
    x = 5,241,618,623.74/83,646.65
  6. Step 6: Final answer
    x = 62,663.82

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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.