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Finding the Fourth Proportional to 153,501.57, 229,827.24 and 78,460.20

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Solution

The fourth proportional to 153,501.57, 229,827.24 and 78,460.20 is: 117,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,501.57 : 229,827.24 = 78,460.20 : x
  2. Step 2: Convert to fraction form
    153,501.57/229,827.24 = 78,460.20/x
  3. Step 3: Cross multiply
    153,501.57x = 229,827.24 × 78,460.20
  4. Step 4: Simplify right side
    153,501.57x = 18,032,291,215.85
  5. Step 5: Solve for x
    x = 18,032,291,215.85/153,501.57
  6. Step 6: Final answer
    x = 117,473.01

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1.5x scale

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.