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Finding the Fourth Proportional to 188,706.64, 260,417.23 and 102,666.12

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Solution

The fourth proportional to 188,706.64, 260,417.23 and 102,666.12 is: 141,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,706.64 : 260,417.23 = 102,666.12 : x
  2. Step 2: Convert to fraction form
    188,706.64/260,417.23 = 102,666.12/x
  3. Step 3: Cross multiply
    188,706.64x = 260,417.23 × 102,666.12
  4. Step 4: Simplify right side
    188,706.64x = 26,736,025,283.16
  5. Step 5: Solve for x
    x = 26,736,025,283.16/188,706.64
  6. Step 6: Final answer
    x = 141,680.36

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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.