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Finding the Fourth Proportional to 145,278.93, 200,449.65 and 84,814.95

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Solution

The fourth proportional to 145,278.93, 200,449.65 and 84,814.95 is: 117,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,278.93 : 200,449.65 = 84,814.95 : x
  2. Step 2: Convert to fraction form
    145,278.93/200,449.65 = 84,814.95/x
  3. Step 3: Cross multiply
    145,278.93x = 200,449.65 × 84,814.95
  4. Step 4: Simplify right side
    145,278.93x = 17,001,127,042.27
  5. Step 5: Solve for x
    x = 17,001,127,042.27/145,278.93
  6. Step 6: Final answer
    x = 117,024.04

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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.