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Finding the Fourth Proportional to 77,580, 116,370 and 28,332

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Solution

The fourth proportional to 77,580, 116,370 and 28,332 is: 42,498

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580 : 116,370 = 28,332 : x
  2. Step 2: Convert to fraction form
    77,580/116,370 = 28,332/x
  3. Step 3: Cross multiply
    77,580x = 116,370 × 28,332
  4. Step 4: Simplify right side
    77,580x = 3,296,994,840
  5. Step 5: Solve for x
    x = 3,296,994,840/77,580
  6. Step 6: Final answer
    x = 42,498

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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.