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Finding the Fourth Proportional to 130,670.80, 196,071 and 51,783.28

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Solution

The fourth proportional to 130,670.80, 196,071 and 51,783.28 is: 77,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,670.80 : 196,071 = 51,783.28 : x
  2. Step 2: Convert to fraction form
    130,670.80/196,071 = 51,783.28/x
  3. Step 3: Cross multiply
    130,670.80x = 196,071 × 51,783.28
  4. Step 4: Simplify right side
    130,670.80x = 10,153,199,492.88
  5. Step 5: Solve for x
    x = 10,153,199,492.88/130,670.80
  6. Step 6: Final answer
    x = 77,700.60

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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.