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Finding the Fourth Proportional to 76,148.96, 114,242.80 and 29,389.28

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Solution

The fourth proportional to 76,148.96, 114,242.80 and 29,389.28 is: 44,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148.96 : 114,242.80 = 29,389.28 : x
  2. Step 2: Convert to fraction form
    76,148.96/114,242.80 = 29,389.28/x
  3. Step 3: Cross multiply
    76,148.96x = 114,242.80 × 29,389.28
  4. Step 4: Simplify right side
    76,148.96x = 3,357,513,637.18
  5. Step 5: Solve for x
    x = 3,357,513,637.18/76,148.96
  6. Step 6: Final answer
    x = 44,091.39

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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.