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Finding the Fourth Proportional to 251,875, 347,587.50 and 138,697.48

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Solution

The fourth proportional to 251,875, 347,587.50 and 138,697.48 is: 191,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,875 : 347,587.50 = 138,697.48 : x
  2. Step 2: Convert to fraction form
    251,875/347,587.50 = 138,697.48/x
  3. Step 3: Cross multiply
    251,875x = 347,587.50 × 138,697.48
  4. Step 4: Simplify right side
    251,875x = 48,209,510,329.50
  5. Step 5: Solve for x
    x = 48,209,510,329.50/251,875
  6. Step 6: Final answer
    x = 191,402.52

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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.