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Finding the Fourth Proportional to 83,877.48, 115,749.96 and 45,638.16

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Solution

The fourth proportional to 83,877.48, 115,749.96 and 45,638.16 is: 62,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.48 : 115,749.96 = 45,638.16 : x
  2. Step 2: Convert to fraction form
    83,877.48/115,749.96 = 45,638.16/x
  3. Step 3: Cross multiply
    83,877.48x = 115,749.96 × 45,638.16
  4. Step 4: Simplify right side
    83,877.48x = 5,282,615,194.47
  5. Step 5: Solve for x
    x = 5,282,615,194.47/83,877.48
  6. Step 6: Final answer
    x = 62,980.14

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1.5x scale

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.