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Finding the Fourth Proportional to 188,707.16, 260,417.95 and 102,666.64

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Solution

The fourth proportional to 188,707.16, 260,417.95 and 102,666.64 is: 141,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,707.16 : 260,417.95 = 102,666.64 : x
  2. Step 2: Convert to fraction form
    188,707.16/260,417.95 = 102,666.64/x
  3. Step 3: Cross multiply
    188,707.16x = 260,417.95 × 102,666.64
  4. Step 4: Simplify right side
    188,707.16x = 26,736,234,620.10
  5. Step 5: Solve for x
    x = 26,736,234,620.10/188,707.16
  6. Step 6: Final answer
    x = 141,681.08

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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.