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Finding the Fourth Proportional to 98,947.50, 148,421.25 and 43,543.50

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Solution

The fourth proportional to 98,947.50, 148,421.25 and 43,543.50 is: 65,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,947.50 : 148,421.25 = 43,543.50 : x
  2. Step 2: Convert to fraction form
    98,947.50/148,421.25 = 43,543.50/x
  3. Step 3: Cross multiply
    98,947.50x = 148,421.25 × 43,543.50
  4. Step 4: Simplify right side
    98,947.50x = 6,462,780,699.38
  5. Step 5: Solve for x
    x = 6,462,780,699.38/98,947.50
  6. Step 6: Final answer
    x = 65,315.25

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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.