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Finding the Fourth Proportional to 134,710.71, 185,899.64 and 74,283.90

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Solution

The fourth proportional to 134,710.71, 185,899.64 and 74,283.90 is: 102,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,710.71 : 185,899.64 = 74,283.90 : x
  2. Step 2: Convert to fraction form
    134,710.71/185,899.64 = 74,283.90/x
  3. Step 3: Cross multiply
    134,710.71x = 185,899.64 × 74,283.90
  4. Step 4: Simplify right side
    134,710.71x = 13,809,349,199.25
  5. Step 5: Solve for x
    x = 13,809,349,199.25/134,710.71
  6. Step 6: Final answer
    x = 102,511.15

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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.