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Finding the Fourth Proportional to 77,641.64, 116,462.47 and 61,985.96

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Solution

The fourth proportional to 77,641.64, 116,462.47 and 61,985.96 is: 92,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,641.64 : 116,462.47 = 61,985.96 : x
  2. Step 2: Convert to fraction form
    77,641.64/116,462.47 = 61,985.96/x
  3. Step 3: Cross multiply
    77,641.64x = 116,462.47 × 61,985.96
  4. Step 4: Simplify right side
    77,641.64x = 7,219,038,006.92
  5. Step 5: Solve for x
    x = 7,219,038,006.92/77,641.64
  6. Step 6: Final answer
    x = 92,978.95

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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.