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Finding the Fourth Proportional to 99,031, 136,663.50 and 54,319

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Solution

The fourth proportional to 99,031, 136,663.50 and 54,319 is: 74,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,031 : 136,663.50 = 54,319 : x
  2. Step 2: Convert to fraction form
    99,031/136,663.50 = 54,319/x
  3. Step 3: Cross multiply
    99,031x = 136,663.50 × 54,319
  4. Step 4: Simplify right side
    99,031x = 7,423,424,656.50
  5. Step 5: Solve for x
    x = 7,423,424,656.50/99,031
  6. Step 6: Final answer
    x = 74,960.61

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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.