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Finding the Fourth Proportional to 76,337.96, 105,342.68 and 42,347.80

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Solution

The fourth proportional to 76,337.96, 105,342.68 and 42,347.80 is: 58,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,337.96 : 105,342.68 = 42,347.80 : x
  2. Step 2: Convert to fraction form
    76,337.96/105,342.68 = 42,347.80/x
  3. Step 3: Cross multiply
    76,337.96x = 105,342.68 × 42,347.80
  4. Step 4: Simplify right side
    76,337.96x = 4,461,030,744.10
  5. Step 5: Solve for x
    x = 4,461,030,744.10/76,337.96
  6. Step 6: Final answer
    x = 58,437.91

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1.5x scale

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.