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Finding the Fourth Proportional to 130,979, 196,484.97 and 51,018.77

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Solution

The fourth proportional to 130,979, 196,484.97 and 51,018.77 is: 76,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,979 : 196,484.97 = 51,018.77 : x
  2. Step 2: Convert to fraction form
    130,979/196,484.97 = 51,018.77/x
  3. Step 3: Cross multiply
    130,979x = 196,484.97 × 51,018.77
  4. Step 4: Simplify right side
    130,979x = 10,024,421,492.89
  5. Step 5: Solve for x
    x = 10,024,421,492.89/130,979
  6. Step 6: Final answer
    x = 76,534.57

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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.