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Finding the Fourth Proportional to 74,720.32, 112,080.48 and 19,312

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Solution

The fourth proportional to 74,720.32, 112,080.48 and 19,312 is: 28,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,720.32 : 112,080.48 = 19,312 : x
  2. Step 2: Convert to fraction form
    74,720.32/112,080.48 = 19,312/x
  3. Step 3: Cross multiply
    74,720.32x = 112,080.48 × 19,312
  4. Step 4: Simplify right side
    74,720.32x = 2,164,498,229.76
  5. Step 5: Solve for x
    x = 2,164,498,229.76/74,720.32
  6. Step 6: Final answer
    x = 28,968.00

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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.