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Finding the Fourth Proportional to 152,903.84, 211,005.84 and 85,835.36

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Solution

The fourth proportional to 152,903.84, 211,005.84 and 85,835.36 is: 118,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,903.84 : 211,005.84 = 85,835.36 : x
  2. Step 2: Convert to fraction form
    152,903.84/211,005.84 = 85,835.36/x
  3. Step 3: Cross multiply
    152,903.84x = 211,005.84 × 85,835.36
  4. Step 4: Simplify right side
    152,903.84x = 18,111,762,238.50
  5. Step 5: Solve for x
    x = 18,111,762,238.50/152,903.84
  6. Step 6: Final answer
    x = 118,451.98

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1.5x scale

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.