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Finding the Fourth Proportional to 139,044, 208,041.12 and 86,206.08

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Solution

The fourth proportional to 139,044, 208,041.12 and 86,206.08 is: 128,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,044 : 208,041.12 = 86,206.08 : x
  2. Step 2: Convert to fraction form
    139,044/208,041.12 = 86,206.08/x
  3. Step 3: Cross multiply
    139,044x = 208,041.12 × 86,206.08
  4. Step 4: Simplify right side
    139,044x = 17,934,409,434.01
  5. Step 5: Solve for x
    x = 17,934,409,434.01/139,044
  6. Step 6: Final answer
    x = 128,983.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.