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Finding the Fourth Proportional to 130,522.30, 195,783.45 and 78,034.30

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Solution

The fourth proportional to 130,522.30, 195,783.45 and 78,034.30 is: 117,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,522.30 : 195,783.45 = 78,034.30 : x
  2. Step 2: Convert to fraction form
    130,522.30/195,783.45 = 78,034.30/x
  3. Step 3: Cross multiply
    130,522.30x = 195,783.45 × 78,034.30
  4. Step 4: Simplify right side
    130,522.30x = 15,277,824,472.34
  5. Step 5: Solve for x
    x = 15,277,824,472.34/130,522.30
  6. Step 6: Final answer
    x = 117,051.45

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1.5x scale

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.