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Finding the Fourth Proportional to 315,864.42, 473,726.87 and 91,176.03

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Solution

The fourth proportional to 315,864.42, 473,726.87 and 91,176.03 is: 136,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,864.42 : 473,726.87 = 91,176.03 : x
  2. Step 2: Convert to fraction form
    315,864.42/473,726.87 = 91,176.03/x
  3. Step 3: Cross multiply
    315,864.42x = 473,726.87 × 91,176.03
  4. Step 4: Simplify right side
    315,864.42x = 43,192,535,068.74
  5. Step 5: Solve for x
    x = 43,192,535,068.74/315,864.42
  6. Step 6: Final answer
    x = 136,743.91

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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.