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Finding the Fourth Proportional to 138,388.02, 190,987.02 and 77,970.48

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Solution

The fourth proportional to 138,388.02, 190,987.02 and 77,970.48 is: 107,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,388.02 : 190,987.02 = 77,970.48 : x
  2. Step 2: Convert to fraction form
    138,388.02/190,987.02 = 77,970.48/x
  3. Step 3: Cross multiply
    138,388.02x = 190,987.02 × 77,970.48
  4. Step 4: Simplify right side
    138,388.02x = 14,891,349,623.17
  5. Step 5: Solve for x
    x = 14,891,349,623.17/138,388.02
  6. Step 6: Final answer
    x = 107,605.77

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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.