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Finding the Fourth Proportional to 76,675.60, 105,811.18 and 42,684.02

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Solution

The fourth proportional to 76,675.60, 105,811.18 and 42,684.02 is: 58,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.60 : 105,811.18 = 42,684.02 : x
  2. Step 2: Convert to fraction form
    76,675.60/105,811.18 = 42,684.02/x
  3. Step 3: Cross multiply
    76,675.60x = 105,811.18 × 42,684.02
  4. Step 4: Simplify right side
    76,675.60x = 4,516,446,681.16
  5. Step 5: Solve for x
    x = 4,516,446,681.16/76,675.60
  6. Step 6: Final answer
    x = 58,903.31

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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.