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Finding the Fourth Proportional to 71,818, 99,115.40 and 42,010

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Solution

The fourth proportional to 71,818, 99,115.40 and 42,010 is: 57,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818 : 99,115.40 = 42,010 : x
  2. Step 2: Convert to fraction form
    71,818/99,115.40 = 42,010/x
  3. Step 3: Cross multiply
    71,818x = 99,115.40 × 42,010
  4. Step 4: Simplify right side
    71,818x = 4,163,837,954.00
  5. Step 5: Solve for x
    x = 4,163,837,954.00/71,818
  6. Step 6: Final answer
    x = 57,977.64

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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.