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Finding the Fourth Proportional to 251,005, 346,389.32 and 137,830.20

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Solution

The fourth proportional to 251,005, 346,389.32 and 137,830.20 is: 190,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,005 : 346,389.32 = 137,830.20 : x
  2. Step 2: Convert to fraction form
    251,005/346,389.32 = 137,830.20/x
  3. Step 3: Cross multiply
    251,005x = 346,389.32 × 137,830.20
  4. Step 4: Simplify right side
    251,005x = 47,742,909,253.46
  5. Step 5: Solve for x
    x = 47,742,909,253.46/251,005
  6. Step 6: Final answer
    x = 190,207.00

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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.