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Finding the Fourth Proportional to 152,681.50, 210,701.74 and 84,702.90

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Solution

The fourth proportional to 152,681.50, 210,701.74 and 84,702.90 is: 116,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,681.50 : 210,701.74 = 84,702.90 : x
  2. Step 2: Convert to fraction form
    152,681.50/210,701.74 = 84,702.90/x
  3. Step 3: Cross multiply
    152,681.50x = 210,701.74 × 84,702.90
  4. Step 4: Simplify right side
    152,681.50x = 17,847,048,413.05
  5. Step 5: Solve for x
    x = 17,847,048,413.05/152,681.50
  6. Step 6: Final answer
    x = 116,890.71

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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.