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Finding the Fourth Proportional to 130,196, 179,670.48 and 70,580

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Solution

The fourth proportional to 130,196, 179,670.48 and 70,580 is: 97,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,196 : 179,670.48 = 70,580 : x
  2. Step 2: Convert to fraction form
    130,196/179,670.48 = 70,580/x
  3. Step 3: Cross multiply
    130,196x = 179,670.48 × 70,580
  4. Step 4: Simplify right side
    130,196x = 12,681,142,478.40
  5. Step 5: Solve for x
    x = 12,681,142,478.40/130,196
  6. Step 6: Final answer
    x = 97,400.40

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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.