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Finding the Fourth Proportional to 175,446, 242,118.72 and 99,999.36

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Solution

The fourth proportional to 175,446, 242,118.72 and 99,999.36 is: 138,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,446 : 242,118.72 = 99,999.36 : x
  2. Step 2: Convert to fraction form
    175,446/242,118.72 = 99,999.36/x
  3. Step 3: Cross multiply
    175,446x = 242,118.72 × 99,999.36
  4. Step 4: Simplify right side
    175,446x = 24,211,717,044.02
  5. Step 5: Solve for x
    x = 24,211,717,044.02/175,446
  6. Step 6: Final answer
    x = 138,000.96

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1.5x scale

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.