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Finding the Fourth Proportional to 130,483, 180,066.54 and 70,867

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Solution

The fourth proportional to 130,483, 180,066.54 and 70,867 is: 97,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,483 : 180,066.54 = 70,867 : x
  2. Step 2: Convert to fraction form
    130,483/180,066.54 = 70,867/x
  3. Step 3: Cross multiply
    130,483x = 180,066.54 × 70,867
  4. Step 4: Simplify right side
    130,483x = 12,760,775,490.18
  5. Step 5: Solve for x
    x = 12,760,775,490.18/130,483
  6. Step 6: Final answer
    x = 97,796.46

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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.