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Finding the Fourth Proportional to 153,918, 230,708.88 and 97,783.20

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Solution

The fourth proportional to 153,918, 230,708.88 and 97,783.20 is: 146,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,918 : 230,708.88 = 97,783.20 : x
  2. Step 2: Convert to fraction form
    153,918/230,708.88 = 97,783.20/x
  3. Step 3: Cross multiply
    153,918x = 230,708.88 × 97,783.20
  4. Step 4: Simplify right side
    153,918x = 22,559,452,554.82
  5. Step 5: Solve for x
    x = 22,559,452,554.82/153,918
  6. Step 6: Final answer
    x = 146,567.99

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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.