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Finding the Fourth Proportional to 52,521, 78,781.50 and 15,585

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Solution

The fourth proportional to 52,521, 78,781.50 and 15,585 is: 23,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,521 : 78,781.50 = 15,585 : x
  2. Step 2: Convert to fraction form
    52,521/78,781.50 = 15,585/x
  3. Step 3: Cross multiply
    52,521x = 78,781.50 × 15,585
  4. Step 4: Simplify right side
    52,521x = 1,227,809,677.50
  5. Step 5: Solve for x
    x = 1,227,809,677.50/52,521
  6. Step 6: Final answer
    x = 23,377.50

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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.