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Finding the Fourth Proportional to 103,920.52, 143,411.70 and 61,477.96

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Solution

The fourth proportional to 103,920.52, 143,411.70 and 61,477.96 is: 84,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,920.52 : 143,411.70 = 61,477.96 : x
  2. Step 2: Convert to fraction form
    103,920.52/143,411.70 = 61,477.96/x
  3. Step 3: Cross multiply
    103,920.52x = 143,411.70 × 61,477.96
  4. Step 4: Simplify right side
    103,920.52x = 8,816,658,756.13
  5. Step 5: Solve for x
    x = 8,816,658,756.13/103,920.52
  6. Step 6: Final answer
    x = 84,840.40

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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.