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Finding the Fourth Proportional to 105,428.98, 145,490.70 and 57,681.64

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Solution

The fourth proportional to 105,428.98, 145,490.70 and 57,681.64 is: 79,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,428.98 : 145,490.70 = 57,681.64 : x
  2. Step 2: Convert to fraction form
    105,428.98/145,490.70 = 57,681.64/x
  3. Step 3: Cross multiply
    105,428.98x = 145,490.70 × 57,681.64
  4. Step 4: Simplify right side
    105,428.98x = 8,392,142,180.75
  5. Step 5: Solve for x
    x = 8,392,142,180.75/105,428.98
  6. Step 6: Final answer
    x = 79,599.96

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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.