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Finding the Fourth Proportional to 91,935.40, 138,032.70 and 56,943.40

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Solution

The fourth proportional to 91,935.40, 138,032.70 and 56,943.40 is: 85,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,935.40 : 138,032.70 = 56,943.40 : x
  2. Step 2: Convert to fraction form
    91,935.40/138,032.70 = 56,943.40/x
  3. Step 3: Cross multiply
    91,935.40x = 138,032.70 × 56,943.40
  4. Step 4: Simplify right side
    91,935.40x = 7,860,051,249.18
  5. Step 5: Solve for x
    x = 7,860,051,249.18/91,935.40
  6. Step 6: Final answer
    x = 85,495.37

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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.