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Finding the Fourth Proportional to 97,248, 145,872 and 31,584

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Solution

The fourth proportional to 97,248, 145,872 and 31,584 is: 47,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,248 : 145,872 = 31,584 : x
  2. Step 2: Convert to fraction form
    97,248/145,872 = 31,584/x
  3. Step 3: Cross multiply
    97,248x = 145,872 × 31,584
  4. Step 4: Simplify right side
    97,248x = 4,607,221,248
  5. Step 5: Solve for x
    x = 4,607,221,248/97,248
  6. Step 6: Final answer
    x = 47,376

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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.