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Finding the Fourth Proportional to 188,606.40, 260,275.35 and 102,565.41

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Solution

The fourth proportional to 188,606.40, 260,275.35 and 102,565.41 is: 141,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,606.40 : 260,275.35 = 102,565.41 : x
  2. Step 2: Convert to fraction form
    188,606.40/260,275.35 = 102,565.41/x
  3. Step 3: Cross multiply
    188,606.40x = 260,275.35 × 102,565.41
  4. Step 4: Simplify right side
    188,606.40x = 26,695,247,985.64
  5. Step 5: Solve for x
    x = 26,695,247,985.64/188,606.40
  6. Step 6: Final answer
    x = 141,539.46

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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.