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Finding the Fourth Proportional to 145,710.10, 218,435.48 and 56,943.41

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Solution

The fourth proportional to 145,710.10, 218,435.48 and 56,943.41 is: 85,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,710.10 : 218,435.48 = 56,943.41 : x
  2. Step 2: Convert to fraction form
    145,710.10/218,435.48 = 56,943.41/x
  3. Step 3: Cross multiply
    145,710.10x = 218,435.48 × 56,943.41
  4. Step 4: Simplify right side
    145,710.10x = 12,438,460,811.47
  5. Step 5: Solve for x
    x = 12,438,460,811.47/145,710.10
  6. Step 6: Final answer
    x = 85,364.44

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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.