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Finding the Fourth Proportional to 145,653, 218,491.35 and 40,471.98

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Solution

The fourth proportional to 145,653, 218,491.35 and 40,471.98 is: 60,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,653 : 218,491.35 = 40,471.98 : x
  2. Step 2: Convert to fraction form
    145,653/218,491.35 = 40,471.98/x
  3. Step 3: Cross multiply
    145,653x = 218,491.35 × 40,471.98
  4. Step 4: Simplify right side
    145,653x = 8,842,777,547.37
  5. Step 5: Solve for x
    x = 8,842,777,547.37/145,653
  6. Step 6: Final answer
    x = 60,711.26

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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.