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Finding the Fourth Proportional to 64,702.51, 97,047.34 and 20,328.07

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Solution

The fourth proportional to 64,702.51, 97,047.34 and 20,328.07 is: 30,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,702.51 : 97,047.34 = 20,328.07 : x
  2. Step 2: Convert to fraction form
    64,702.51/97,047.34 = 20,328.07/x
  3. Step 3: Cross multiply
    64,702.51x = 97,047.34 × 20,328.07
  4. Step 4: Simplify right side
    64,702.51x = 1,972,785,120.83
  5. Step 5: Solve for x
    x = 1,972,785,120.83/64,702.51
  6. Step 6: Final answer
    x = 30,490.09

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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.