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Finding the Fourth Proportional to 177,854.65, 245,447.27 and 102,427.45

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Solution

The fourth proportional to 177,854.65, 245,447.27 and 102,427.45 is: 141,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,854.65 : 245,447.27 = 102,427.45 : x
  2. Step 2: Convert to fraction form
    177,854.65/245,447.27 = 102,427.45/x
  3. Step 3: Cross multiply
    177,854.65x = 245,447.27 × 102,427.45
  4. Step 4: Simplify right side
    177,854.65x = 25,140,537,975.56
  5. Step 5: Solve for x
    x = 25,140,537,975.56/177,854.65
  6. Step 6: Final answer
    x = 141,354.40

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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.