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Finding the Fourth Proportional to 65,645.56, 98,500.47 and 40,678.93

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Solution

The fourth proportional to 65,645.56, 98,500.47 and 40,678.93 is: 61,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,645.56 : 98,500.47 = 40,678.93 : x
  2. Step 2: Convert to fraction form
    65,645.56/98,500.47 = 40,678.93/x
  3. Step 3: Cross multiply
    65,645.56x = 98,500.47 × 40,678.93
  4. Step 4: Simplify right side
    65,645.56x = 4,006,893,724.10
  5. Step 5: Solve for x
    x = 4,006,893,724.10/65,645.56
  6. Step 6: Final answer
    x = 61,038.31

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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.