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Finding the Fourth Proportional to 147,218.70, 220,828.13 and 47,378.90

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Solution

The fourth proportional to 147,218.70, 220,828.13 and 47,378.90 is: 71,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,218.70 : 220,828.13 = 47,378.90 : x
  2. Step 2: Convert to fraction form
    147,218.70/220,828.13 = 47,378.90/x
  3. Step 3: Cross multiply
    147,218.70x = 220,828.13 × 47,378.90
  4. Step 4: Simplify right side
    147,218.70x = 10,462,592,547.42
  5. Step 5: Solve for x
    x = 10,462,592,547.42/147,218.70
  6. Step 6: Final answer
    x = 71,068.37

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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.