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Finding the Fourth Proportional to 103,424, 142,725.12 and 56,320

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Solution

The fourth proportional to 103,424, 142,725.12 and 56,320 is: 77,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,424 : 142,725.12 = 56,320 : x
  2. Step 2: Convert to fraction form
    103,424/142,725.12 = 56,320/x
  3. Step 3: Cross multiply
    103,424x = 142,725.12 × 56,320
  4. Step 4: Simplify right side
    103,424x = 8,038,278,758.40
  5. Step 5: Solve for x
    x = 8,038,278,758.40/103,424
  6. Step 6: Final answer
    x = 77,721.60

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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.