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Finding the Fourth Proportional to 158,900.86, 219,284.76 and 86,305.16

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Solution

The fourth proportional to 158,900.86, 219,284.76 and 86,305.16 is: 119,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,900.86 : 219,284.76 = 86,305.16 : x
  2. Step 2: Convert to fraction form
    158,900.86/219,284.76 = 86,305.16/x
  3. Step 3: Cross multiply
    158,900.86x = 219,284.76 × 86,305.16
  4. Step 4: Simplify right side
    158,900.86x = 18,925,406,297.36
  5. Step 5: Solve for x
    x = 18,925,406,297.36/158,900.86
  6. Step 6: Final answer
    x = 119,101.98

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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.