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Finding the Fourth Proportional to 105,577.63, 145,697.19 and 57,831.78

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Solution

The fourth proportional to 105,577.63, 145,697.19 and 57,831.78 is: 79,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,577.63 : 145,697.19 = 57,831.78 : x
  2. Step 2: Convert to fraction form
    105,577.63/145,697.19 = 57,831.78/x
  3. Step 3: Cross multiply
    105,577.63x = 145,697.19 × 57,831.78
  4. Step 4: Simplify right side
    105,577.63x = 8,425,927,838.70
  5. Step 5: Solve for x
    x = 8,425,927,838.70/105,577.63
  6. Step 6: Final answer
    x = 79,807.89

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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.