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Finding the Fourth Proportional to 210,641.72, 290,657.50 and 135,292.28

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Solution

The fourth proportional to 210,641.72, 290,657.50 and 135,292.28 is: 186,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,641.72 : 290,657.50 = 135,292.28 : x
  2. Step 2: Convert to fraction form
    210,641.72/290,657.50 = 135,292.28/x
  3. Step 3: Cross multiply
    210,641.72x = 290,657.50 × 135,292.28
  4. Step 4: Simplify right side
    210,641.72x = 39,323,715,874.10
  5. Step 5: Solve for x
    x = 39,323,715,874.10/210,641.72
  6. Step 6: Final answer
    x = 186,685.32

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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.