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Finding the Fourth Proportional to 77,412.24, 106,826.64 and 45,602.88

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Solution

The fourth proportional to 77,412.24, 106,826.64 and 45,602.88 is: 62,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412.24 : 106,826.64 = 45,602.88 : x
  2. Step 2: Convert to fraction form
    77,412.24/106,826.64 = 45,602.88/x
  3. Step 3: Cross multiply
    77,412.24x = 106,826.64 × 45,602.88
  4. Step 4: Simplify right side
    77,412.24x = 4,871,602,444.72
  5. Step 5: Solve for x
    x = 4,871,602,444.72/77,412.24
  6. Step 6: Final answer
    x = 62,930.65

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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.