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Finding the Fourth Proportional to 127,798.40, 191,485.65 and 77,727.03

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Solution

The fourth proportional to 127,798.40, 191,485.65 and 77,727.03 is: 116,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,798.40 : 191,485.65 = 77,727.03 : x
  2. Step 2: Convert to fraction form
    127,798.40/191,485.65 = 77,727.03/x
  3. Step 3: Cross multiply
    127,798.40x = 191,485.65 × 77,727.03
  4. Step 4: Simplify right side
    127,798.40x = 14,883,610,862.12
  5. Step 5: Solve for x
    x = 14,883,610,862.12/127,798.40
  6. Step 6: Final answer
    x = 116,461.64

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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.