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Finding the Fourth Proportional to 98,781.66, 136,317.29 and 56,340.90

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Solution

The fourth proportional to 98,781.66, 136,317.29 and 56,340.90 is: 77,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,781.66 : 136,317.29 = 56,340.90 : x
  2. Step 2: Convert to fraction form
    98,781.66/136,317.29 = 56,340.90/x
  3. Step 3: Cross multiply
    98,781.66x = 136,317.29 × 56,340.90
  4. Step 4: Simplify right side
    98,781.66x = 7,680,238,804.16
  5. Step 5: Solve for x
    x = 7,680,238,804.16/98,781.66
  6. Step 6: Final answer
    x = 77,749.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.