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Finding the Fourth Proportional to 76,624.71, 105,739.44 and 42,166.23

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Solution

The fourth proportional to 76,624.71, 105,739.44 and 42,166.23 is: 58,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624.71 : 105,739.44 = 42,166.23 : x
  2. Step 2: Convert to fraction form
    76,624.71/105,739.44 = 42,166.23/x
  3. Step 3: Cross multiply
    76,624.71x = 105,739.44 × 42,166.23
  4. Step 4: Simplify right side
    76,624.71x = 4,458,633,547.11
  5. Step 5: Solve for x
    x = 4,458,633,547.11/76,624.71
  6. Step 6: Final answer
    x = 58,187.93

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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.