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Finding the Fourth Proportional to 64,953.80, 97,430.70 and 51,831.80

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Solution

The fourth proportional to 64,953.80, 97,430.70 and 51,831.80 is: 77,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953.80 : 97,430.70 = 51,831.80 : x
  2. Step 2: Convert to fraction form
    64,953.80/97,430.70 = 51,831.80/x
  3. Step 3: Cross multiply
    64,953.80x = 97,430.70 × 51,831.80
  4. Step 4: Simplify right side
    64,953.80x = 5,050,008,556.26
  5. Step 5: Solve for x
    x = 5,050,008,556.26/64,953.80
  6. Step 6: Final answer
    x = 77,747.70

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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.