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Finding the Fourth Proportional to 228,298.06, 314,979.90 and 137,681.74

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Solution

The fourth proportional to 228,298.06, 314,979.90 and 137,681.74 is: 189,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,298.06 : 314,979.90 = 137,681.74 : x
  2. Step 2: Convert to fraction form
    228,298.06/314,979.90 = 137,681.74/x
  3. Step 3: Cross multiply
    228,298.06x = 314,979.90 × 137,681.74
  4. Step 4: Simplify right side
    228,298.06x = 43,366,980,697.03
  5. Step 5: Solve for x
    x = 43,366,980,697.03/228,298.06
  6. Step 6: Final answer
    x = 189,957.73

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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.