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Finding the Fourth Proportional to 147,407.85, 203,423.52 and 83,749.14

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Solution

The fourth proportional to 147,407.85, 203,423.52 and 83,749.14 is: 115,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,407.85 : 203,423.52 = 83,749.14 : x
  2. Step 2: Convert to fraction form
    147,407.85/203,423.52 = 83,749.14/x
  3. Step 3: Cross multiply
    147,407.85x = 203,423.52 × 83,749.14
  4. Step 4: Simplify right side
    147,407.85x = 17,036,544,855.77
  5. Step 5: Solve for x
    x = 17,036,544,855.77/147,407.85
  6. Step 6: Final answer
    x = 115,574.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.