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Finding the Fourth Proportional to 145,522, 218,283.05 and 65,466.45

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Solution

The fourth proportional to 145,522, 218,283.05 and 65,466.45 is: 98,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,522 : 218,283.05 = 65,466.45 : x
  2. Step 2: Convert to fraction form
    145,522/218,283.05 = 65,466.45/x
  3. Step 3: Cross multiply
    145,522x = 218,283.05 × 65,466.45
  4. Step 4: Simplify right side
    145,522x = 14,290,216,378.67
  5. Step 5: Solve for x
    x = 14,290,216,378.67/145,522
  6. Step 6: Final answer
    x = 98,199.70

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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.