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Finding the Fourth Proportional to 102,347.28, 153,298.72 and 49,646

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Solution

The fourth proportional to 102,347.28, 153,298.72 and 49,646 is: 74,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347.28 : 153,298.72 = 49,646 : x
  2. Step 2: Convert to fraction form
    102,347.28/153,298.72 = 49,646/x
  3. Step 3: Cross multiply
    102,347.28x = 153,298.72 × 49,646
  4. Step 4: Simplify right side
    102,347.28x = 7,610,668,253.12
  5. Step 5: Solve for x
    x = 7,610,668,253.12/102,347.28
  6. Step 6: Final answer
    x = 74,361.22

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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.