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Finding the Fourth Proportional to 152,369.61, 210,264.26 and 83,457.98

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Solution

The fourth proportional to 152,369.61, 210,264.26 and 83,457.98 is: 115,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,369.61 : 210,264.26 = 83,457.98 : x
  2. Step 2: Convert to fraction form
    152,369.61/210,264.26 = 83,457.98/x
  3. Step 3: Cross multiply
    152,369.61x = 210,264.26 × 83,457.98
  4. Step 4: Simplify right side
    152,369.61x = 17,548,228,937.18
  5. Step 5: Solve for x
    x = 17,548,228,937.18/152,369.61
  6. Step 6: Final answer
    x = 115,168.82

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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.