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Finding the Fourth Proportional to 87,423.96, 130,946.40 and 54,152.40

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Solution

The fourth proportional to 87,423.96, 130,946.40 and 54,152.40 is: 81,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,423.96 : 130,946.40 = 54,152.40 : x
  2. Step 2: Convert to fraction form
    87,423.96/130,946.40 = 54,152.40/x
  3. Step 3: Cross multiply
    87,423.96x = 130,946.40 × 54,152.40
  4. Step 4: Simplify right side
    87,423.96x = 7,091,061,831.36
  5. Step 5: Solve for x
    x = 7,091,061,831.36/87,423.96
  6. Step 6: Final answer
    x = 81,111.19

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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.