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Finding the Fourth Proportional to 76,340.58, 105,349.90 and 42,354.23

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Solution

The fourth proportional to 76,340.58, 105,349.90 and 42,354.23 is: 58,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,340.58 : 105,349.90 = 42,354.23 : x
  2. Step 2: Convert to fraction form
    76,340.58/105,349.90 = 42,354.23/x
  3. Step 3: Cross multiply
    76,340.58x = 105,349.90 × 42,354.23
  4. Step 4: Simplify right side
    76,340.58x = 4,462,013,895.08
  5. Step 5: Solve for x
    x = 4,462,013,895.08/76,340.58
  6. Step 6: Final answer
    x = 58,448.78

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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.