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Finding the Fourth Proportional to 159,783.48, 220,461.87 and 97,678.35

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Solution

The fourth proportional to 159,783.48, 220,461.87 and 97,678.35 is: 134,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,783.48 : 220,461.87 = 97,678.35 : x
  2. Step 2: Convert to fraction form
    159,783.48/220,461.87 = 97,678.35/x
  3. Step 3: Cross multiply
    159,783.48x = 220,461.87 × 97,678.35
  4. Step 4: Simplify right side
    159,783.48x = 21,534,351,699.51
  5. Step 5: Solve for x
    x = 21,534,351,699.51/159,783.48
  6. Step 6: Final answer
    x = 134,772.08

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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.