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Finding the Fourth Proportional to 52,345, 78,531.90 and 15,409

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Solution

The fourth proportional to 52,345, 78,531.90 and 15,409 is: 23,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,345 : 78,531.90 = 15,409 : x
  2. Step 2: Convert to fraction form
    52,345/78,531.90 = 15,409/x
  3. Step 3: Cross multiply
    52,345x = 78,531.90 × 15,409
  4. Step 4: Simplify right side
    52,345x = 1,210,098,047.10
  5. Step 5: Solve for x
    x = 1,210,098,047.10/52,345
  6. Step 6: Final answer
    x = 23,117.74

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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.