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Finding the Fourth Proportional to 153,153.82, 229,730.73 and 69,989.50

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Solution

The fourth proportional to 153,153.82, 229,730.73 and 69,989.50 is: 104,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,153.82 : 229,730.73 = 69,989.50 : x
  2. Step 2: Convert to fraction form
    153,153.82/229,730.73 = 69,989.50/x
  3. Step 3: Cross multiply
    153,153.82x = 229,730.73 × 69,989.50
  4. Step 4: Simplify right side
    153,153.82x = 16,078,738,927.34
  5. Step 5: Solve for x
    x = 16,078,738,927.34/153,153.82
  6. Step 6: Final answer
    x = 104,984.25

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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.