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Finding the Fourth Proportional to 210,782.61, 290,877.89 and 115,291.17

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Solution

The fourth proportional to 210,782.61, 290,877.89 and 115,291.17 is: 159,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,782.61 : 290,877.89 = 115,291.17 : x
  2. Step 2: Convert to fraction form
    210,782.61/290,877.89 = 115,291.17/x
  3. Step 3: Cross multiply
    210,782.61x = 290,877.89 × 115,291.17
  4. Step 4: Simplify right side
    210,782.61x = 33,535,651,688.78
  5. Step 5: Solve for x
    x = 33,535,651,688.78/210,782.61
  6. Step 6: Final answer
    x = 159,100.66

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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.