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Finding the Fourth Proportional to 99,403.65, 148,812.53 and 65,607.32

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Solution

The fourth proportional to 99,403.65, 148,812.53 and 65,607.32 is: 98,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,403.65 : 148,812.53 = 65,607.32 : x
  2. Step 2: Convert to fraction form
    99,403.65/148,812.53 = 65,607.32/x
  3. Step 3: Cross multiply
    99,403.65x = 148,812.53 × 65,607.32
  4. Step 4: Simplify right side
    99,403.65x = 9,763,191,319.71
  5. Step 5: Solve for x
    x = 9,763,191,319.71/99,403.65
  6. Step 6: Final answer
    x = 98,217.63

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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.