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Finding the Fourth Proportional to 145,871.79, 218,846.61 and 52,378.35

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Solution

The fourth proportional to 145,871.79, 218,846.61 and 52,378.35 is: 78,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,871.79 : 218,846.61 = 52,378.35 : x
  2. Step 2: Convert to fraction form
    145,871.79/218,846.61 = 52,378.35/x
  3. Step 3: Cross multiply
    145,871.79x = 218,846.61 × 52,378.35
  4. Step 4: Simplify right side
    145,871.79x = 11,462,824,334.89
  5. Step 5: Solve for x
    x = 11,462,824,334.89/145,871.79
  6. Step 6: Final answer
    x = 78,581.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.