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Finding the Fourth Proportional to 210,672.19, 315,860.65 and 77,535.13

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Solution

The fourth proportional to 210,672.19, 315,860.65 and 77,535.13 is: 116,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,672.19 : 315,860.65 = 77,535.13 : x
  2. Step 2: Convert to fraction form
    210,672.19/315,860.65 = 77,535.13/x
  3. Step 3: Cross multiply
    210,672.19x = 315,860.65 × 77,535.13
  4. Step 4: Simplify right side
    210,672.19x = 24,490,296,559.63
  5. Step 5: Solve for x
    x = 24,490,296,559.63/210,672.19
  6. Step 6: Final answer
    x = 116,248.36

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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.