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Finding the Fourth Proportional to 70,654.88, 105,971.29 and 45,870.71

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Solution

The fourth proportional to 70,654.88, 105,971.29 and 45,870.71 is: 68,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.88 : 105,971.29 = 45,870.71 : x
  2. Step 2: Convert to fraction form
    70,654.88/105,971.29 = 45,870.71/x
  3. Step 3: Cross multiply
    70,654.88x = 105,971.29 × 45,870.71
  4. Step 4: Simplify right side
    70,654.88x = 4,860,977,667.38
  5. Step 5: Solve for x
    x = 4,860,977,667.38/70,654.88
  6. Step 6: Final answer
    x = 68,798.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.