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Finding the Fourth Proportional to 42,739.76, 64,117.02 and 19,055.72

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Solution

The fourth proportional to 42,739.76, 64,117.02 and 19,055.72 is: 28,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,739.76 : 64,117.02 = 19,055.72 : x
  2. Step 2: Convert to fraction form
    42,739.76/64,117.02 = 19,055.72/x
  3. Step 3: Cross multiply
    42,739.76x = 64,117.02 × 19,055.72
  4. Step 4: Simplify right side
    42,739.76x = 1,221,795,980.35
  5. Step 5: Solve for x
    x = 1,221,795,980.35/42,739.76
  6. Step 6: Final answer
    x = 28,586.87

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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.