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Finding the Fourth Proportional to 138,506.64, 191,159.64 and 102,646.32

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Solution

The fourth proportional to 138,506.64, 191,159.64 and 102,646.32 is: 141,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,506.64 : 191,159.64 = 102,646.32 : x
  2. Step 2: Convert to fraction form
    138,506.64/191,159.64 = 102,646.32/x
  3. Step 3: Cross multiply
    138,506.64x = 191,159.64 × 102,646.32
  4. Step 4: Simplify right side
    138,506.64x = 19,621,833,578.52
  5. Step 5: Solve for x
    x = 19,621,833,578.52/138,506.64
  6. Step 6: Final answer
    x = 141,667.10

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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.