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Finding the Fourth Proportional to 152,370, 210,270.64 and 85,303.44

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Solution

The fourth proportional to 152,370, 210,270.64 and 85,303.44 is: 117,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,370 : 210,270.64 = 85,303.44 : x
  2. Step 2: Convert to fraction form
    152,370/210,270.64 = 85,303.44/x
  3. Step 3: Cross multiply
    152,370x = 210,270.64 × 85,303.44
  4. Step 4: Simplify right side
    152,370x = 17,936,808,923.00
  5. Step 5: Solve for x
    x = 17,936,808,923.00/152,370
  6. Step 6: Final answer
    x = 117,718.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.