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Finding the Fourth Proportional to 253,130.64, 349,320.88 and 138,416.72

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Solution

The fourth proportional to 253,130.64, 349,320.88 and 138,416.72 is: 191,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,130.64 : 349,320.88 = 138,416.72 : x
  2. Step 2: Convert to fraction form
    253,130.64/349,320.88 = 138,416.72/x
  3. Step 3: Cross multiply
    253,130.64x = 349,320.88 × 138,416.72
  4. Step 4: Simplify right side
    253,130.64x = 48,351,850,437.11
  5. Step 5: Solve for x
    x = 48,351,850,437.11/253,130.64
  6. Step 6: Final answer
    x = 191,015.40

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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.