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Finding the Fourth Proportional to 152,681.48, 210,701.70 and 84,702.90

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Solution

The fourth proportional to 152,681.48, 210,701.70 and 84,702.90 is: 116,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,681.48 : 210,701.70 = 84,702.90 : x
  2. Step 2: Convert to fraction form
    152,681.48/210,701.70 = 84,702.90/x
  3. Step 3: Cross multiply
    152,681.48x = 210,701.70 × 84,702.90
  4. Step 4: Simplify right side
    152,681.48x = 17,847,045,024.93
  5. Step 5: Solve for x
    x = 17,847,045,024.93/152,681.48
  6. Step 6: Final answer
    x = 116,890.70

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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.