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Finding the Fourth Proportional to 152,783.84, 210,854.40 and 84,807.20

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Solution

The fourth proportional to 152,783.84, 210,854.40 and 84,807.20 is: 117,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,783.84 : 210,854.40 = 84,807.20 : x
  2. Step 2: Convert to fraction form
    152,783.84/210,854.40 = 84,807.20/x
  3. Step 3: Cross multiply
    152,783.84x = 210,854.40 × 84,807.20
  4. Step 4: Simplify right side
    152,783.84x = 17,881,971,271.68
  5. Step 5: Solve for x
    x = 17,881,971,271.68/152,783.84
  6. Step 6: Final answer
    x = 117,040.99

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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.