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Finding the Fourth Proportional to 105,782.25, 158,667.51 and 77,348.34

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Solution

The fourth proportional to 105,782.25, 158,667.51 and 77,348.34 is: 116,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,782.25 : 158,667.51 = 77,348.34 : x
  2. Step 2: Convert to fraction form
    105,782.25/158,667.51 = 77,348.34/x
  3. Step 3: Cross multiply
    105,782.25x = 158,667.51 × 77,348.34
  4. Step 4: Simplify right side
    105,782.25x = 12,272,668,510.43
  5. Step 5: Solve for x
    x = 12,272,668,510.43/105,782.25
  6. Step 6: Final answer
    x = 116,018.22

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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.