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Finding the Fourth Proportional to 103,452, 142,763.76 and 56,348

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Solution

The fourth proportional to 103,452, 142,763.76 and 56,348 is: 77,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,452 : 142,763.76 = 56,348 : x
  2. Step 2: Convert to fraction form
    103,452/142,763.76 = 56,348/x
  3. Step 3: Cross multiply
    103,452x = 142,763.76 × 56,348
  4. Step 4: Simplify right side
    103,452x = 8,044,452,348.48
  5. Step 5: Solve for x
    x = 8,044,452,348.48/103,452
  6. Step 6: Final answer
    x = 77,760.24

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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.