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Finding the Fourth Proportional to 152,292, 210,255.12 and 99,392.16

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Solution

The fourth proportional to 152,292, 210,255.12 and 99,392.16 is: 137,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,292 : 210,255.12 = 99,392.16 : x
  2. Step 2: Convert to fraction form
    152,292/210,255.12 = 99,392.16/x
  3. Step 3: Cross multiply
    152,292x = 210,255.12 × 99,392.16
  4. Step 4: Simplify right side
    152,292x = 20,897,710,527.86
  5. Step 5: Solve for x
    x = 20,897,710,527.86/152,292
  6. Step 6: Final answer
    x = 137,221.33

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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.