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Finding the Fourth Proportional to 210,387.84, 290,337.60 and 114,895.68

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Solution

The fourth proportional to 210,387.84, 290,337.60 and 114,895.68 is: 158,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,387.84 : 290,337.60 = 114,895.68 : x
  2. Step 2: Convert to fraction form
    210,387.84/290,337.60 = 114,895.68/x
  3. Step 3: Cross multiply
    210,387.84x = 290,337.60 × 114,895.68
  4. Step 4: Simplify right side
    210,387.84x = 33,358,535,981.57
  5. Step 5: Solve for x
    x = 33,358,535,981.57/210,387.84
  6. Step 6: Final answer
    x = 158,557.34

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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.