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Finding the Fourth Proportional to 101,980.51, 140,707.65 and 61,151.04

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Solution

The fourth proportional to 101,980.51, 140,707.65 and 61,151.04 is: 84,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.51 : 140,707.65 = 61,151.04 : x
  2. Step 2: Convert to fraction form
    101,980.51/140,707.65 = 61,151.04/x
  3. Step 3: Cross multiply
    101,980.51x = 140,707.65 × 61,151.04
  4. Step 4: Simplify right side
    101,980.51x = 8,604,418,827.70
  5. Step 5: Solve for x
    x = 8,604,418,827.70/101,980.51
  6. Step 6: Final answer
    x = 84,373.17

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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.