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Finding the Fourth Proportional to 153,094, 229,670.16 and 69,988

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Solution

The fourth proportional to 153,094, 229,670.16 and 69,988 is: 104,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,094 : 229,670.16 = 69,988 : x
  2. Step 2: Convert to fraction form
    153,094/229,670.16 = 69,988/x
  3. Step 3: Cross multiply
    153,094x = 229,670.16 × 69,988
  4. Step 4: Simplify right side
    153,094x = 16,074,155,158.08
  5. Step 5: Solve for x
    x = 16,074,155,158.08/153,094
  6. Step 6: Final answer
    x = 104,995.33

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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.