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Finding the Fourth Proportional to 116,642, 174,988.92 and 42,770

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Solution

The fourth proportional to 116,642, 174,988.92 and 42,770 is: 64,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,642 : 174,988.92 = 42,770 : x
  2. Step 2: Convert to fraction form
    116,642/174,988.92 = 42,770/x
  3. Step 3: Cross multiply
    116,642x = 174,988.92 × 42,770
  4. Step 4: Simplify right side
    116,642x = 7,484,276,108.40
  5. Step 5: Solve for x
    x = 7,484,276,108.40/116,642
  6. Step 6: Final answer
    x = 64,164.50

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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.