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Finding the Fourth Proportional to 75,748, 113,683.56 and 64,725.52

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Solution

The fourth proportional to 75,748, 113,683.56 and 64,725.52 is: 97,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,748 : 113,683.56 = 64,725.52 : x
  2. Step 2: Convert to fraction form
    75,748/113,683.56 = 64,725.52/x
  3. Step 3: Cross multiply
    75,748x = 113,683.56 × 64,725.52
  4. Step 4: Simplify right side
    75,748x = 7,358,227,536.45
  5. Step 5: Solve for x
    x = 7,358,227,536.45/75,748
  6. Step 6: Final answer
    x = 97,140.88

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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.