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Finding the Fourth Proportional to 78,798.46, 108,739.73 and 42,988.46

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Solution

The fourth proportional to 78,798.46, 108,739.73 and 42,988.46 is: 59,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,798.46 : 108,739.73 = 42,988.46 : x
  2. Step 2: Convert to fraction form
    78,798.46/108,739.73 = 42,988.46/x
  3. Step 3: Cross multiply
    78,798.46x = 108,739.73 × 42,988.46
  4. Step 4: Simplify right side
    78,798.46x = 4,674,553,590.42
  5. Step 5: Solve for x
    x = 4,674,553,590.42/78,798.46
  6. Step 6: Final answer
    x = 59,322.91

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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.