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Finding the Fourth Proportional to 210,488.48, 315,722.40 and 77,358.56

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Solution

The fourth proportional to 210,488.48, 315,722.40 and 77,358.56 is: 116,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,488.48 : 315,722.40 = 77,358.56 : x
  2. Step 2: Convert to fraction form
    210,488.48/315,722.40 = 77,358.56/x
  3. Step 3: Cross multiply
    210,488.48x = 315,722.40 × 77,358.56
  4. Step 4: Simplify right side
    210,488.48x = 24,423,830,223.74
  5. Step 5: Solve for x
    x = 24,423,830,223.74/210,488.48
  6. Step 6: Final answer
    x = 116,034.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.