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Finding the Fourth Proportional to 153,382.71, 211,666.46 and 85,398.20

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Solution

The fourth proportional to 153,382.71, 211,666.46 and 85,398.20 is: 117,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,382.71 : 211,666.46 = 85,398.20 : x
  2. Step 2: Convert to fraction form
    153,382.71/211,666.46 = 85,398.20/x
  3. Step 3: Cross multiply
    153,382.71x = 211,666.46 × 85,398.20
  4. Step 4: Simplify right side
    153,382.71x = 18,075,933,199.05
  5. Step 5: Solve for x
    x = 18,075,933,199.05/153,382.71
  6. Step 6: Final answer
    x = 117,848.57

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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.