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Finding the Fourth Proportional to 98,659, 136,152.66 and 53,947

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Solution

The fourth proportional to 98,659, 136,152.66 and 53,947 is: 74,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,659 : 136,152.66 = 53,947 : x
  2. Step 2: Convert to fraction form
    98,659/136,152.66 = 53,947/x
  3. Step 3: Cross multiply
    98,659x = 136,152.66 × 53,947
  4. Step 4: Simplify right side
    98,659x = 7,345,027,549.02
  5. Step 5: Solve for x
    x = 7,345,027,549.02/98,659
  6. Step 6: Final answer
    x = 74,448.63

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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.