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Finding the Fourth Proportional to 102,590.90, 153,886.35 and 67,570.10

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Solution

The fourth proportional to 102,590.90, 153,886.35 and 67,570.10 is: 101,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590.90 : 153,886.35 = 67,570.10 : x
  2. Step 2: Convert to fraction form
    102,590.90/153,886.35 = 67,570.10/x
  3. Step 3: Cross multiply
    102,590.90x = 153,886.35 × 67,570.10
  4. Step 4: Simplify right side
    102,590.90x = 10,398,116,058.14
  5. Step 5: Solve for x
    x = 10,398,116,058.14/102,590.90
  6. Step 6: Final answer
    x = 101,355.15

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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.