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Finding the Fourth Proportional to 130,548, 180,157.32 and 70,932

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Solution

The fourth proportional to 130,548, 180,157.32 and 70,932 is: 97,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,548 : 180,157.32 = 70,932 : x
  2. Step 2: Convert to fraction form
    130,548/180,157.32 = 70,932/x
  3. Step 3: Cross multiply
    130,548x = 180,157.32 × 70,932
  4. Step 4: Simplify right side
    130,548x = 12,778,919,022.24
  5. Step 5: Solve for x
    x = 12,778,919,022.24/130,548
  6. Step 6: Final answer
    x = 97,886.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.