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Finding the Fourth Proportional to 52,598.70, 78,859.65 and 21,417.90

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Solution

The fourth proportional to 52,598.70, 78,859.65 and 21,417.90 is: 32,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,598.70 : 78,859.65 = 21,417.90 : x
  2. Step 2: Convert to fraction form
    52,598.70/78,859.65 = 21,417.90/x
  3. Step 3: Cross multiply
    52,598.70x = 78,859.65 × 21,417.90
  4. Step 4: Simplify right side
    52,598.70x = 1,689,008,097.74
  5. Step 5: Solve for x
    x = 1,689,008,097.74/52,598.70
  6. Step 6: Final answer
    x = 32,111.21

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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.