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Finding the Fourth Proportional to 188,707.10, 260,417.87 and 102,666.57

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Solution

The fourth proportional to 188,707.10, 260,417.87 and 102,666.57 is: 141,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,707.10 : 260,417.87 = 102,666.57 : x
  2. Step 2: Convert to fraction form
    188,707.10/260,417.87 = 102,666.57/x
  3. Step 3: Cross multiply
    188,707.10x = 260,417.87 × 102,666.57
  4. Step 4: Simplify right side
    188,707.10x = 26,736,208,966.27
  5. Step 5: Solve for x
    x = 26,736,208,966.27/188,707.10
  6. Step 6: Final answer
    x = 141,680.99

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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.