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Finding the Fourth Proportional to 130,458.35, 195,762.78 and 70,487

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Solution

The fourth proportional to 130,458.35, 195,762.78 and 70,487 is: 105,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,458.35 : 195,762.78 = 70,487 : x
  2. Step 2: Convert to fraction form
    130,458.35/195,762.78 = 70,487/x
  3. Step 3: Cross multiply
    130,458.35x = 195,762.78 × 70,487
  4. Step 4: Simplify right side
    130,458.35x = 13,798,731,073.86
  5. Step 5: Solve for x
    x = 13,798,731,073.86/130,458.35
  6. Step 6: Final answer
    x = 105,771.16

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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.