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Finding the Fourth Proportional to 78,230.42, 107,943.55 and 45,970.30

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Solution

The fourth proportional to 78,230.42, 107,943.55 and 45,970.30 is: 63,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.42 : 107,943.55 = 45,970.30 : x
  2. Step 2: Convert to fraction form
    78,230.42/107,943.55 = 45,970.30/x
  3. Step 3: Cross multiply
    78,230.42x = 107,943.55 × 45,970.30
  4. Step 4: Simplify right side
    78,230.42x = 4,962,197,655.15
  5. Step 5: Solve for x
    x = 4,962,197,655.15/78,230.42
  6. Step 6: Final answer
    x = 63,430.53

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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.