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Finding the Fourth Proportional to 154,681.72, 231,984.76 and 49,478.92

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Solution

The fourth proportional to 154,681.72, 231,984.76 and 49,478.92 is: 74,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,681.72 : 231,984.76 = 49,478.92 : x
  2. Step 2: Convert to fraction form
    154,681.72/231,984.76 = 49,478.92/x
  3. Step 3: Cross multiply
    154,681.72x = 231,984.76 × 49,478.92
  4. Step 4: Simplify right side
    154,681.72x = 11,478,355,381.26
  5. Step 5: Solve for x
    x = 11,478,355,381.26/154,681.72
  6. Step 6: Final answer
    x = 74,206.28

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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.