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Finding the Fourth Proportional to 74,784.66, 112,079.38 and 30,359.40

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Solution

The fourth proportional to 74,784.66, 112,079.38 and 30,359.40 is: 45,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,784.66 : 112,079.38 = 30,359.40 : x
  2. Step 2: Convert to fraction form
    74,784.66/112,079.38 = 30,359.40/x
  3. Step 3: Cross multiply
    74,784.66x = 112,079.38 × 30,359.40
  4. Step 4: Simplify right side
    74,784.66x = 3,402,662,729.17
  5. Step 5: Solve for x
    x = 3,402,662,729.17/74,784.66
  6. Step 6: Final answer
    x = 45,499.47

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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.