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Finding the Fourth Proportional to 105,410.55, 145,466.11 and 57,012.53

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Solution

The fourth proportional to 105,410.55, 145,466.11 and 57,012.53 is: 78,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410.55 : 145,466.11 = 57,012.53 : x
  2. Step 2: Convert to fraction form
    105,410.55/145,466.11 = 57,012.53/x
  3. Step 3: Cross multiply
    105,410.55x = 145,466.11 × 57,012.53
  4. Step 4: Simplify right side
    105,410.55x = 8,293,390,908.74
  5. Step 5: Solve for x
    x = 8,293,390,908.74/105,410.55
  6. Step 6: Final answer
    x = 78,677.05

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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.