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Finding the Fourth Proportional to 74,428, 102,710.64 and 40,894

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Solution

The fourth proportional to 74,428, 102,710.64 and 40,894 is: 56,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,428 : 102,710.64 = 40,894 : x
  2. Step 2: Convert to fraction form
    74,428/102,710.64 = 40,894/x
  3. Step 3: Cross multiply
    74,428x = 102,710.64 × 40,894
  4. Step 4: Simplify right side
    74,428x = 4,200,248,912.16
  5. Step 5: Solve for x
    x = 4,200,248,912.16/74,428
  6. Step 6: Final answer
    x = 56,433.72

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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.