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Finding the Fourth Proportional to 42,888.60, 64,405.80 and 31,807.80

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Solution

The fourth proportional to 42,888.60, 64,405.80 and 31,807.80 is: 47,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,888.60 : 64,405.80 = 31,807.80 : x
  2. Step 2: Convert to fraction form
    42,888.60/64,405.80 = 31,807.80/x
  3. Step 3: Cross multiply
    42,888.60x = 64,405.80 × 31,807.80
  4. Step 4: Simplify right side
    42,888.60x = 2,048,606,805.24
  5. Step 5: Solve for x
    x = 2,048,606,805.24/42,888.60
  6. Step 6: Final answer
    x = 47,765.77

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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.