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Finding the Fourth Proportional to 51,104.93, 70,526.80 and 30,950.40

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Solution

The fourth proportional to 51,104.93, 70,526.80 and 30,950.40 is: 42,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104.93 : 70,526.80 = 30,950.40 : x
  2. Step 2: Convert to fraction form
    51,104.93/70,526.80 = 30,950.40/x
  3. Step 3: Cross multiply
    51,104.93x = 70,526.80 × 30,950.40
  4. Step 4: Simplify right side
    51,104.93x = 2,182,832,973.88
  5. Step 5: Solve for x
    x = 2,182,832,973.88/51,104.93
  6. Step 6: Final answer
    x = 42,712.77

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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.