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Finding the Fourth Proportional to 187,643.16, 258,947.64 and 101,602.80

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Solution

The fourth proportional to 187,643.16, 258,947.64 and 101,602.80 is: 140,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,643.16 : 258,947.64 = 101,602.80 : x
  2. Step 2: Convert to fraction form
    187,643.16/258,947.64 = 101,602.80/x
  3. Step 3: Cross multiply
    187,643.16x = 258,947.64 × 101,602.80
  4. Step 4: Simplify right side
    187,643.16x = 26,309,805,277.39
  5. Step 5: Solve for x
    x = 26,309,805,277.39/187,643.16
  6. Step 6: Final answer
    x = 140,211.91

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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.