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Finding the Fourth Proportional to 78,598.56, 117,875.88 and 31,192.32

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Solution

The fourth proportional to 78,598.56, 117,875.88 and 31,192.32 is: 46,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,598.56 : 117,875.88 = 31,192.32 : x
  2. Step 2: Convert to fraction form
    78,598.56/117,875.88 = 31,192.32/x
  3. Step 3: Cross multiply
    78,598.56x = 117,875.88 × 31,192.32
  4. Step 4: Simplify right side
    78,598.56x = 3,676,822,169.24
  5. Step 5: Solve for x
    x = 3,676,822,169.24/78,598.56
  6. Step 6: Final answer
    x = 46,779.77

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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.