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Finding the Fourth Proportional to 102,160.63, 140,948.06 and 61,859.08

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Solution

The fourth proportional to 102,160.63, 140,948.06 and 61,859.08 is: 85,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160.63 : 140,948.06 = 61,859.08 : x
  2. Step 2: Convert to fraction form
    102,160.63/140,948.06 = 61,859.08/x
  3. Step 3: Cross multiply
    102,160.63x = 140,948.06 × 61,859.08
  4. Step 4: Simplify right side
    102,160.63x = 8,718,917,319.38
  5. Step 5: Solve for x
    x = 8,718,917,319.38/102,160.63
  6. Step 6: Final answer
    x = 85,345.18

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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.