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Finding the Fourth Proportional to 98,554, 135,844.80 and 77,006.08

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Solution

The fourth proportional to 98,554, 135,844.80 and 77,006.08 is: 106,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,554 : 135,844.80 = 77,006.08 : x
  2. Step 2: Convert to fraction form
    98,554/135,844.80 = 77,006.08/x
  3. Step 3: Cross multiply
    98,554x = 135,844.80 × 77,006.08
  4. Step 4: Simplify right side
    98,554x = 10,460,875,536.38
  5. Step 5: Solve for x
    x = 10,460,875,536.38/98,554
  6. Step 6: Final answer
    x = 106,143.59

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1.5x scale

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.