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Finding the Fourth Proportional to 77,954.40, 107,577.16 and 42,144.40

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Solution

The fourth proportional to 77,954.40, 107,577.16 and 42,144.40 is: 58,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954.40 : 107,577.16 = 42,144.40 : x
  2. Step 2: Convert to fraction form
    77,954.40/107,577.16 = 42,144.40/x
  3. Step 3: Cross multiply
    77,954.40x = 107,577.16 × 42,144.40
  4. Step 4: Simplify right side
    77,954.40x = 4,533,775,128.08
  5. Step 5: Solve for x
    x = 4,533,775,128.08/77,954.40
  6. Step 6: Final answer
    x = 58,159.32

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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.