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Finding the Fourth Proportional to 65,713.60, 98,516.40 and 28,302.40

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Solution

The fourth proportional to 65,713.60, 98,516.40 and 28,302.40 is: 42,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.60 : 98,516.40 = 28,302.40 : x
  2. Step 2: Convert to fraction form
    65,713.60/98,516.40 = 28,302.40/x
  3. Step 3: Cross multiply
    65,713.60x = 98,516.40 × 28,302.40
  4. Step 4: Simplify right side
    65,713.60x = 2,788,250,559.36
  5. Step 5: Solve for x
    x = 2,788,250,559.36/65,713.60
  6. Step 6: Final answer
    x = 42,430.34

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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.