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Finding the Fourth Proportional to 98,823.79, 136,396.16 and 77,270.91

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Solution

The fourth proportional to 98,823.79, 136,396.16 and 77,270.91 is: 106,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,823.79 : 136,396.16 = 77,270.91 : x
  2. Step 2: Convert to fraction form
    98,823.79/136,396.16 = 77,270.91/x
  3. Step 3: Cross multiply
    98,823.79x = 136,396.16 × 77,270.91
  4. Step 4: Simplify right side
    98,823.79x = 10,539,455,403.71
  5. Step 5: Solve for x
    x = 10,539,455,403.71/98,823.79
  6. Step 6: Final answer
    x = 106,648.97

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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.