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Finding the Fourth Proportional to 98,343.52, 147,345.78 and 77,417.57

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Solution

The fourth proportional to 98,343.52, 147,345.78 and 77,417.57 is: 115,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343.52 : 147,345.78 = 77,417.57 : x
  2. Step 2: Convert to fraction form
    98,343.52/147,345.78 = 77,417.57/x
  3. Step 3: Cross multiply
    98,343.52x = 147,345.78 × 77,417.57
  4. Step 4: Simplify right side
    98,343.52x = 11,407,152,896.03
  5. Step 5: Solve for x
    x = 11,407,152,896.03/98,343.52
  6. Step 6: Final answer
    x = 115,992.93

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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.