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Finding the Fourth Proportional to 82,592.80, 124,148.40 and 77,927.20

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Solution

The fourth proportional to 82,592.80, 124,148.40 and 77,927.20 is: 117,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,592.80 : 124,148.40 = 77,927.20 : x
  2. Step 2: Convert to fraction form
    82,592.80/124,148.40 = 77,927.20/x
  3. Step 3: Cross multiply
    82,592.80x = 124,148.40 × 77,927.20
  4. Step 4: Simplify right side
    82,592.80x = 9,674,537,196.48
  5. Step 5: Solve for x
    x = 9,674,537,196.48/82,592.80
  6. Step 6: Final answer
    x = 117,135.36

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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.